Evaluate (5(1023/1024))/(1/2)

$\frac{5 (\frac{1023}{1024})}{\frac{1}{2}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$5 (\frac{1023}{1024}) \cdot 2$

Step 2

Multiply $5 (\frac{1023}{1024})$ .

Combine $5$ and $\frac{1023}{1024}$ .

$\frac{5 \cdot 1023}{1024} \cdot 2$

Multiply $5$ by $1023$ .

$\frac{5115}{1024} \cdot 2$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $1024$ .

$\frac{5115}{2 (512)} \cdot 2$

Cancel the common factor.

$\frac{5115}{2 \cdot 512} \cdot 2$

Rewrite the expression.

$\frac{5115}{512}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5115}{512}$

Decimal Form:

$9.99023437 \dots$

Mixed Number Form:

$9 \frac{507}{512}$